大家都喜欢澄清说明,我来转庆杰和田刚的澄清说明

送交者: sgy 2005年10月13日14:36:51 于 [教育与学术]http://www.bbsland.com

在丘成桐指责田刚抄袭(自然也指庆杰抄袭了)之后,庆杰和田刚已经在
他们文章中作了澄清。看了一下这些澄清以及两个版本的文章,感觉
没有抄袭或剽窃。第一个version中,的确有”main challenge”这
样的说法,但这和抄袭无关。即使给credit时没有给得让丘成桐舒服,
也是一个沟通问题,就像洪家兴和丘成桐关于那本书的署名问题一样,
完全可以以正常的沟通来解决。

数学界的规矩通常是:一旦有人明确将一个问题作为open problem
或open question提出,人人都可以去做,谁先写出文章的谁拿credit。
所以,即使不是内行,也可以看出所谓的抄袭指控是不成立的。
如果成立,从此以后没有人敢做任何人提出的open problem或open
question了。

下面是庆杰和田刚所专门澄清这一个事实的三个注:

1. After we posted our first version of this paper, we got
some feedbacks indirectly about our main result compared to
previous results on this topic. In this new version we
stated our main result more precisely and gave more specific
references for a clearer comparison of our main result
to the previous ones.

2. The uniqueness problem addressed here was referred as the
global uniqueness of stable CHC surfaces in [HY]. Their
result on this global uniqueness was stated in Theorem 5.1
in [HY]. They proved that for q > 1/2 , if H sufficiently
small, there is a unique stable constant mean curvature
surface of mean curvature H outside BH^{−q}(0). It has been
a long-standing question whether stable constant mean
curvature surfaces are unique outside a fixed compact subset.
In the paragraph after Theorem 5.1 on page 301, Huisken and
Yau stated: “it is an open question whether stable
constant mean curvature surfaces are actually completely
unique outside a fixed compact subset.” Our main theoerm
gives an affirmative answer to this question.

3. In [HY], a global estimate was sought after (cf. Lemma 5.6
in [HY]), with a compromise to assume that the inner radius
is not smaller than H^{−q} for q > 1/2 . They stated in the
paragraph after Theorem 5.1 (page 21, [HY]) that their
assumption on inner radius “seems to be optimal from
a technical point of view”. While in this paper we do
different estimates in three different scales.
Particularly we establish some decay estimate for the
intermediate scales by using an asymptotic
analysis developed in [QT].

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